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Generating special random matrices in sage

Is there an easy way to generate a random n×n-matrix in Sage that is lower triangular with ones on the diagonal and the entries are all in QQ or ZZ(or the natural numbers)?

Generating special random matrices in sage

Is there an easy way to generate a random n×n-matrix in Sage that is lower triangular with ones on the diagonal and the entries are all in QQ or ZZ(or the natural numbers)?